{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import tushare as ts\n",
    "\n",
    "import seaborn\n",
    "%matplotlib inline\n",
    "from matplotlib import pyplot as plt\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1. 数据获取， 整理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "stocks = ['601688', '601788'] #华泰证券 光大证券 / 同行业， 同类型的两只股票"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock1 = ts.get_k_data(stocks[0], '2016-08-13', '2020-08-13')[['date', 'close']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock2 = ts.get_k_data(stocks[1], '2016-08-13', '2020-08-13')[['date', 'close']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock_pair = pd.merge(stock1, stock2, how= 'left', on= 'date')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock_pair.set_index('date', inplace = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock_pair.columns = stocks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>601688</th>\n",
       "      <th>601788</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-08-15</th>\n",
       "      <td>20.535</td>\n",
       "      <td>17.839</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-08-16</th>\n",
       "      <td>20.794</td>\n",
       "      <td>17.510</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-08-17</th>\n",
       "      <td>20.353</td>\n",
       "      <td>17.336</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-08-18</th>\n",
       "      <td>19.759</td>\n",
       "      <td>17.201</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-08-19</th>\n",
       "      <td>19.855</td>\n",
       "      <td>17.230</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            601688  601788\n",
       "date                      \n",
       "2016-08-15  20.535  17.839\n",
       "2016-08-16  20.794  17.510\n",
       "2016-08-17  20.353  17.336\n",
       "2016-08-18  19.759  17.201\n",
       "2016-08-19  19.855  17.230"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stock_pair.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x20397fd4358>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    " stock_pair.plot(figsize = (12,8))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2. 策略开发思路"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>601688</th>\n",
       "      <th>601788</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>601688</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.439504</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>601788</th>\n",
       "      <td>0.439504</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          601688    601788\n",
       "601688  1.000000  0.439504\n",
       "601788  0.439504  1.000000"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stock_pair.corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize =(10,8))\n",
    "plt.title('Stock Correlation')\n",
    "plt.plot(stock_pair[stocks[0]], stock_pair[stocks[1]], '.')\n",
    "plt.xlabel(stocks[0])\n",
    "plt.ylabel(stocks[1])\n",
    "stock_pair.dropna(inplace = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.63, 1.71)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[slope, intercept] = np.polyfit(stock_pair.iloc[:,0], stock_pair.iloc[:,1], 1).round(2)      \n",
    "slope,intercept"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock_pair['spread'] = stock_pair.iloc[:,1] - (stock_pair.iloc[:,0]*slope + intercept)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>601688</th>\n",
       "      <th>601788</th>\n",
       "      <th>spread</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-08-15</th>\n",
       "      <td>20.535</td>\n",
       "      <td>17.839</td>\n",
       "      <td>3.19195</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-08-16</th>\n",
       "      <td>20.794</td>\n",
       "      <td>17.510</td>\n",
       "      <td>2.69978</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-08-17</th>\n",
       "      <td>20.353</td>\n",
       "      <td>17.336</td>\n",
       "      <td>2.80361</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-08-18</th>\n",
       "      <td>19.759</td>\n",
       "      <td>17.201</td>\n",
       "      <td>3.04283</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-08-19</th>\n",
       "      <td>19.855</td>\n",
       "      <td>17.230</td>\n",
       "      <td>3.01135</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            601688  601788   spread\n",
       "date                               \n",
       "2016-08-15  20.535  17.839  3.19195\n",
       "2016-08-16  20.794  17.510  2.69978\n",
       "2016-08-17  20.353  17.336  2.80361\n",
       "2016-08-18  19.759  17.201  3.04283\n",
       "2016-08-19  19.855  17.230  3.01135"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stock_pair.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x2039875f898>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "stock_pair['spread'].plot(figsize = (10,8),title = 'Price Spread')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock_pair['zscore'] = (stock_pair['spread'] - stock_pair['spread'].mean())/stock_pair['spread'].std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x2039893ccf8>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "stock_pair['zscore'].plot(figsize = (12,8),title = 'Z-score')\n",
    "plt.axhline(1)\n",
    "plt.axhline(0)\n",
    "plt.axhline(-1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 3. 产生交易信号"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock_pair['position_1'] = np.where(stock_pair['zscore'] > 1, 1, np.nan)\n",
    "stock_pair['position_1'] = np.where(stock_pair['zscore'] < -1, -1, stock_pair['position_1'])\n",
    "stock_pair['position_1'] = np.where(abs(stock_pair['zscore']) < 0.5, 0, stock_pair['position_1'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock_pair['position_1'] = stock_pair['position_1'].fillna(method = 'ffill')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x20398cf0c50>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "stock_pair['position_1'].plot(ylim=[-1.1, 1.1], figsize=(10, 6),title = 'Trading Signal_Uptrade')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock_pair['position_2'] = -np.sign(stock_pair['position_1'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x20398b092e8>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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e3x14OnDdwudKkvqadJVj/+rL6jKNK7BQ1kVjn77MzE0RcQpwEbAtcFZmXhsRpwFrM7OXoJ0InJvzr/F9HPCeiNhMkSC+pXrVpiRpEQ3IfvqVsmpPWQMCa7mip8ysrGvq6CkjMy8ALliw7PULHr9hwPO+Ajy+jhgkqSuadJXjoJ6yJsTVdlbKuskR/SWpZbJBc0wOnGZp+mG1ntMsdZNJmSS1TJMqZb0osnrtZTMCazmHxOgikzJJapkmJT/zK2XNG9S2rYpKmWlZ15iUSVLLNGpIjMr9HLRQI/Et7CaTMklqmf4QrdP/6u71tTnNUr3sKesmkzJJapkmNdRXJlmCBl2A0HaBQ2J0kUmZJLVOc76sB159Ob1wZoaVsm4yKZOklmnSIK3zpllasEyjc5qlbjIpk6SWadK03/1plrJR0z+1XRBefdlBJmWS1DJN6imjWilr0FWhrWelrJNMyiSppZpQkapOs7RwmUYXYFbWQSZlktQy/WmWphwI1b62dJyyGhUTkqtrTMokqWWadJXjvAnJ7SmrTTEhuWlZ15iUSVLLNKmnbP7Vl82p4LWdV192k0mZJLVMNuj6y/7Vl8xlEdOPqv2KStm0o9CkmZRJUss0slKWlVSxCYG1XNFTZlbWNSZlktRSTUh9+m3+zUoW285KWTeZlElSyzRpRP+5ccqy0lM2xXBmhtMsdZJJmSS1TJOSn7meMtJKWY28grWbTMokqWWalPxUhimrdEA1ILCWKyYkt1TWNSZlktQyTZr4e35PmUNi1CVwSIwuMimTpJaZS34aUJHq9bVlpVI2/ajaL+wp6ySTMklqmSZNZ9QfPLaflTXiAoSWCxwSo4tMyiSpZRo7zVKDLkBoOytl3WRSJkmt0+vdmn76M2+apQZdgNB2TrPUTSZlktQyTaqUMTfNUjohea3CSlkHmZRJUss06urLeROSz1+m0RXvoVlZ15iUSVLLNKkiNRdBOq5WnZxmqZtqScoi4qiIuCEi1kXEqQPWnxQRt0XEleXt5Mq6VRFxY3lbVUc8kjTLmjQe2NyQGKSVshrZU9ZNy8Z9gYjYFngXcCSwHrgiItZk5nULNj0vM09Z8NzdgL8EVlL8+/t6+dw7xo1LkmZVk8YDm3f1ZYMqeG0XhJXHDqqjUnYosC4zb8rM+4BzgWO28rnPAS7OzNvLROxi4KgaYpKkmZUNysrmesoS+leFTi2cmWGlrJvqSMqWAzdXHq8vly30uxFxVUScHxH7LPG5kqRSfzyw6Wc//QnJHRKjTvaUdVMdSdmgj9/Cf0r/AuybmU8APgucvYTnFhtGrI6ItRGx9rbbbhs5WElqvQYlP/1KWaWnrAHJYttFePqyi+pIytYD+1Qe7w1sqG6QmT/KzHvLh+8Fnry1z628xhmZuTIzV+6xxx41hC1J7dSgs5dzrJTVz5Sse+pIyq4ADoiI/SJie+AEYE11g4jYq/LwaOD68v5FwLMjYteI2BV4drlMkjREP/mZfvZT7SlzmqX6RGBW1kFjX32ZmZsi4hSKZGpb4KzMvDYiTgPWZuYa4M8i4mhgE3A7cFL53Nsj4q8pEjuA0zLz9nFjkqRZlg1qqO+fqkwrZTUqJiRX14ydlAFk5gXABQuWvb5y/7XAa4c89yzgrDrikKQuaNY0S4WiUqY62VPWPY7oL0kt06RBWudPSN7Ebrd2ckiMbjIpk6SWaVLyM3+csvnLNDqHxOgmkzJJaplGVcrmxinLRp5WbauiUmZW1jUmZZLUNg1KfgZefdmEbLHlinHKph2FJs2kTJJapknJT//ay2ZegNBWjojRTSZlktQyTUp+5o3o75AY9TEr6ySTMklqmWYlP/0gnGapPsU4ZWZlXWNSJkkt06TkZ15PWTZnUNu2i/Dqyy4yKZOklmlS8lMZz9+6To08e9lNJmWS1DJN+rLuXWyQSf+q0AYki21XVMqadKQ1CSZlktQyTeopm6uUOSRGrZz7sptMyiSpdcrkp0k9ZTTrqtC2s6esm0zKJKllmlUp652+zEbNNNB2voXdZFImSS3TpORncKWsAYG1XfSTXXWHSZkktUwjk595PWVTjmUGVHv11B0mZZLUMk1KfvqVMickr1O1AqnuMCmTpJZpUvJTHRJjLoFoQmAtV+3VU3eYlElSyzSqp6z8mTCXLTbqtGpLWSnrJpMySWqZfvVk+snPvGmWFizT6Owp6yaTMklqqSYkP3On2ewpq1W1V0/dYVImSS3TpORn8ITkTYis3eZNX6XOMCmTpJZp0nRG1Z6y5pxUldrJpEySWqZJlbJq81OTZhpou2oFUt1hUiZJLdOk5KffU1atlDUgsJar9uqpO0zKJKllmpT8DOopa0BYrWelrJtMyiSpZfoN9VMOhOrZy3720IS42m7e+G/qDJMySWqZJn1Rz10lSMN63VquXylr0tHWA82kTJLaplE9ZYXMZl0V2nbVXj11Ry1JWUQcFRE3RMS6iDh1wPpXRsR1EXFVRFwSEY+qrLs/Iq4sb2vqiEeSZlmTkp/qdEBWyupjT1k3LRv3BSJiW+BdwJHAeuCKiFiTmddVNvt3YGVm3hMRfwK8DXhRue5nmXnwuHFIUlc0KfmpTpztNEsPAJOyTqmjUnYosC4zb8rM+4BzgWOqG2Tm5zPznvLhZcDeNexXkjqpUclPJYZ+stiEwNqt36tnVtYldSRly4GbK4/Xl8uGeRlwYeXxgyJibURcFhHH1hCPJM20JiU/8yckb85VoW3nhOTdNPbpSwZX0Af+M4qI3wdWAs+sLF6RmRsiYn/gcxFxdWZ+e8BzVwOrAVasWDF+1JLUUk1KfvpDN6QJRI2qvXrqjjoqZeuBfSqP9wY2LNwoIo4AXgccnZn39pZn5oby503ApcAhg3aSmWdk5srMXLnHHnvUELYktVOjesoGTJzdhGSx7QaN/6bZV0dSdgVwQETsFxHbAycA866ijIhDgPdQJGS3VpbvGhE7lPd3B54OVC8QkCQtMPc13YDkZ96E5L1BbZsQWMtVx39Td4x9+jIzN0XEKcBFwLbAWZl5bUScBqzNzDXA24GdgI+V/9C+n5lHA48D3hMRmykSxLcsuGpTkrRQg5Kf+dMszV+m0TkkRjfV0VNGZl4AXLBg2esr948Y8ryvAI+vIwZJ6oomXX1ZnTi7PyenxlXt1VN3OKK/JLVMs3rKip/zK2VNiKzl7PTvJJMySWqZ/oTkzUp+5q4KnXIcs8AJybvJpEySWqZJpwmrE2fbU1Yfe8q6yaRMklqmSclPf5qlaq9bAwJruWqvnrrDpEySWqZfKZt+8jOv9cmyTm2slHWTSZkktUw2qNO/Oh1Q0ozq3Sywp6ybTMokqaWakABVJ87ObESeOBOqvXrqDpMySWqZBhXKFlTK0n6ymlR79dQdJmWS1DL9CcmnnwBVe8qslNXIN7KTTMokqWUaVSmrdKTbU1afagVS3WFSJkkt06Rplnr6lbIGBdVi1V49dYdJmSS1TL9S1owEKKLfU9aQkFrPSlk3mZRJUsv0e8qmHEgpKGMyJ6uNU192k0mZJLVM06onEeE4ZTVzSIxuMimTpJZqSgJUVMqKBKIpp1Tbrj/NkrrEpEySWqZXPWlKAjTXU5bNSRTbzmmWusmkTJJapkkTkkORHGbZ6daQkGaIWVmXmJRJUsv0JyRviPL8ZVEpa0xUrTY3JIY5WaeYlElSy/QrZc1IgOZ6ysjmJIot54Tk3WRSJkktMzckxpTj6Cl6yooJyRsTVMvZU9ZNJmWS1DKN7Clr0NRPs6B/9aVZWZeYlElSy/SnWWpGChRRGRKjITG1nZWybjIpk6S2adg3dYCDx9bMaZa6yaRMklqmaclPRDkkhtMs1aY/zZJZWZeYlElSyzQt+elXyjx9WR+HxOgikzJJapnGJT+V/qcGRdVqTTq8mhyTMklqmaYlP0WlLBt3WrXN7CnrJpMySWqZpiU/RU9ZL4FoUGAtNjeivz1lnVJLUhYRR0XEDRGxLiJOHbB+h4g4r1x/eUTsW1n32nL5DRHxnDrikaRZVlTKmpP89CYkh2xUsthmVsq6aeykLCK2Bd4FPBc4CDgxIg5asNnLgDsy89HA6cBby+ceBJwA/BpwFPAP5etJkoZImnX+sphmyasv69S/+lJdsqyG1zgUWJeZNwFExLnAMcB1lW2OAd5Q3j8f+D9R1GaPAc7NzHuB70TEuvL1vlpDXOqY+zZtZrN/VqoD7r+/WXNMRgT3b042bbZSVpfe+3jfps38/Bf3TzeYDtth2TYTvaimjqRsOXBz5fF64CnDtsnMTRFxF/CwcvllC567vIaY1DEXXr2Rl//TNyz1qzN22qGO/77rsWyb4JyvFV8Dy3fZccrRzIZl2xQnsl74HmsU03T8k/fmb1/wxIntr45P9aAUcuFX47Bttua5xQtErAZWA6xYsWIp8akDvnf7PWTCK454DNst8091zb4D9nzItEOY87bjn8B1G+8G4PHLd55yNLPh0P124w3PP4h7rJJNzblfu5nv/vCnE91nHUnZemCfyuO9gQ1DtlkfEcuAnYHbt/K5AGTmGcAZACtXrrQeonl6FbLVz9ifHbe3LVGapMMO3JPDDtxz2mHMlAdtty0nPX2/aYfRaV+68Yfcu2nzRPdZx9WXVwAHRMR+EbE9ReP+mgXbrAFWlfePBz6XmVkuP6G8OnM/4ADgazXEpI7pXTZuP4skqQ7FVcWTrQGNXSkre8ROAS4CtgXOysxrI+I0YG1mrgHOBD5UNvLfTpG4UW73UYqLAjYBf5qZ1mq1ZPaSSZLqFMTEr36tpVM0My8ALliw7PWV+z8HXjDkuW8C3lRHHJKVMklSHfrj702OI/prJvRKzE0aUFOS1G6TrpSZlGkm9P6asVImSapDTKFUZlKmmdD72JiTSZLqUMxUMVkmZZoJ/UqZaZkkaXz2lEkjmhsSY8pxSJJmQ29O10kyKdNMsKdMklSniLBSJo1irqfMrEySVIPA05fSaBw9VpJUowgb/aWRJJ66lCTVKSY+zZJJmWZCpk3+kqT6TOMPfZMyzYQk7SeTJNXGnjJpRFbKJEl1KnrKPH0pLZk9ZZKkOgUOiSGNpKiUmZVJkurh1ZfSiBLPX0qS6lNMs+TpS2npzMkkSTUKwkqZNAp7yiRJtSomv5wokzLNhMy0p0ySVJsp5GQmZZoNmVbKJEn1KSYkt6dMWrLEnjJJUn2slEkjKiplpmWSpHoUV19Odp8mZZoJSVopkyTVpqiUefpSGo1ZmSSpJtM4+2JSppng3JeSpDo5Ibk0BnvKJEm1sadMGk1mOiSGJKk20xj70qRMM8EhMSRJdXLuS2lEDokhSapT68Ypi4jdIuLiiLix/LnrgG0OjoivRsS1EXFVRLyosu4DEfGdiLiyvB08TjzqLofEkCTVqY3jlJ0KXJKZBwCXlI8Xugd4SWb+GnAU8I6I2KWy/tWZeXB5u3LMeNRRTrMkSapTEK0bp+wY4Ozy/tnAsQs3yMxvZeaN5f0NwK3AHmPuV5qn+NiYlUmS6tHGStnDM3MjQPlzz8U2johDge2Bb1cWv6k8rXl6ROwwZjzqKCtlkqQ6RUy+p2zZljaIiM8Cjxiw6nVL2VFE7AV8CFiVmZvLxa8FfkCRqJ0BvAY4bcjzVwOrAVasWLGUXasT7CmTJNUpJl4p22JSlplHDFsXEbdExF6ZubFMum4dst1DgU8D/29mXlZ57Y3l3Xsj4v3AqxaJ4wyKxI2VK1dOOnlVw1kpkyTVqfhOaVdP2RpgVXl/FfDJhRtExPbAx4EPZubHFqzbq/wZFP1o14wZjzqqmGbJrEySVI82TrP0FuDIiLgROLJ8TESsjIj3ldu8EHgGcNKAoS8+EhFXA1cDuwNvHDMedVTiiP6SpPo0sqdsMZn5I+BZA5avBU4u738Y+PCQ5x8+zv6lHicklyTVKQhH9JdGkTiivySpPtOolJmUaSZM+ry/JGm2tbGnTGoEe8okSXWK8PSlNBqHxJAk1czTl9IIEofEkCTVJ4KJZ2UmZZoJmZ6+lCTVp5iQfLJMyjQTikqZJEn1KCYkt6dMWrJimiXTMklSPaZw9tKkTLPBSpkkqU5FpWyy+zQp00xIh/SXJNUoIsiWTUguNYKVMkkEmuFKAAATZElEQVRSnRw8VhqVI/pLkurkNEvSaIoR/a2VSZLqEVPIykzKNBNsKZMk1amYkNyeMmnJ0mmWJEk1sqdMGlGSTrMkSapN2FMmjcZKmSSpTkE4or80Ci++lCTVyUqZNCKnWZIk1cmeMmlkaUeZJKk+U/hD36RMM8GeMklSnXpfKZPsKzMp00xITMokSfXpfadM8hSmSZlmQqZDYkiS6tP7TplkW5lJmWaClTJJUp36lTJPX0pL4jRLkqQ6zfWUTXCfJmWaCQmWyiRJtbGnTBpR0VMmSVI9emNfTnJScpMyzQwLZZKkurWmUhYRu0XExRFxY/lz1yHb3R8RV5a3NZXl+0XE5eXzz4uI7ceJR91lT5kkqU7T+EN/3ErZqcAlmXkAcEn5eJCfZebB5e3oyvK3AqeXz78DeNmY8aijknSaJUlSbeaGxGhLpQw4Bji7vH82cOzWPjGKb9DDgfNHeb5UZaVMklSnuUb/FvWUPTwzNwKUP/ccst2DImJtRFwWEb3E62HAnZm5qXy8Hlg+ZjzqKKdZkiTVqT/N0uT2uWxLG0TEZ4FHDFj1uiXsZ0VmboiI/YHPRcTVwN0Dthv6q0fEamA1wIoVK5awa3VB4oj+kqT69Ctlk7PFpCwzjxi2LiJuiYi9MnNjROwF3DrkNTaUP2+KiEuBQ4B/BnaJiGVltWxvYMMicZwBnAGwcuXKSb5HaoFMPH8pSapNv6esPacv1wCryvurgE8u3CAido2IHcr7uwNPB67L4rf8PHD8Ys+XtoY5mSSpTtOolI2blL0FODIibgSOLB8TESsj4n3lNo8D1kbEf1AkYW/JzOvKda8BXhkR6yh6zM4cMx51lT1lkqQHQKN6yhaTmT8CnjVg+Vrg5PL+V4DHD3n+TcCh48QgQa+nzLGQJUn1iCmUyvwW00zw6ktJUp36E5K3p6dMaoTEpEySVB8nJJdGVExIblYmSapHv1I2OSZlmglWyiRJder1lLVpSAypESZZXpYkzb42DokhNUJRKbNUJkmqxzSmWTIp02zItKNMklSf3ulLr76UlsaeMklSnea+UqyUSUuT6TRLkqT62FMmjShJe8okSbXpT0g+uX2alGkmWCmTJNWpXymzp0xaEqdZkiTVyasvpREVnxmzMklSPewpk0aUmVbKJEm16feUefpSWjJzMklSbZyQXBqNPWWSpDpN4yvFpEwzIcm5UrMkSePqT0g+uX2alGkmWCmTJNVp7upLh8SQlsZpliRJdQp7yqTRZHr6UpJUH4fEkEaU4OWXkqTaOCSGNCqnWZIk1chKmTSioqfMtEySVC97yqQlKnrKJEmqR/8PfU9fSkvi1ZeSpDo5Ibk0orSnTJJUI3vKpBElaU+ZJKk2/asvJ7dPkzLNBCtlkqQ69StlLekpi4jdIuLiiLix/LnrgG3+a0RcWbn9PCKOLdd9ICK+U1l38DjxqLsyMSuTJNWmjT1lpwKXZOYBwCXl43ky8/OZeXBmHgwcDtwDfKayyat76zPzyjHjUYc5or8kqS5tnGbpGODs8v7ZwLFb2P544MLMvGfM/UrzZKZXX0qSalT2lLXl9CXw8MzcCFD+3HML258AnLNg2Zsi4qqIOD0idhgzHnWUZy8lSXWaRqVs2ZY2iIjPAo8YsOp1S9lRROwFPB64qLL4tcAPgO2BM4DXAKcNef5qYDXAihUrlrJrdUCm45RJkuozja+ULSZlmXnEsHURcUtE7JWZG8uk69ZFXuqFwMcz8xeV195Y3r03It4PvGqROM6gSNxYuXLlJIcNUQskaU+ZJKk2vWGW2tRTtgZYVd5fBXxykW1PZMGpyzKRI4rf/FjgmjHjUUdZKZMk1ak/yVJ7esreAhwZETcCR5aPiYiVEfG+3kYRsS+wD/CFBc//SERcDVwN7A68ccx41FFOsyRJqlMje8oWk5k/Ap41YPla4OTK4+8Cywdsd/g4+5d6ig+NWZkkqR5OsySNzCExJEn16U+z1J7Tl1IjOM2SJKlWVsqk0dhTJkmqUxunWZIaIdMhMSRJ9YnoX385KSZlmglWyiRJdbJSJo3InjJJUp28+lIaUTEhuWmZJKke/asvJ7dPkzLNBOfdkiTVqT94rD1l0tI4zZIkqUaTb/M3KdMM8epLSVJtpvCVYlKmmeDVl5KkOtlTJo2oGKdMkqR69K++tKdMWhIrZZKkOs19pVgpk5YmE4fEkCTVpvedYqO/tESJpy8lSfXpD4kxuX2alGkmZOKQ/pKk2vSHxLCnTFqSIiczK5Mk1cNKmTQqB4+VJNXKnjJpJPaUSZLq5DRL0ojSSpkkqUZOsySNyJ4ySVKdoj967MSYlGkmZKaVMklSbbz6UhqRI2JIkurk1ZfSiNJ5liRJNXJCcmkMpmSSpLpMoaXMpEzt17tc2UKZJKluDokhLUHv8+LVl5Kkulgpk0bQ+8BYKZMk1cWeMmkEc6cvpxyHJGl29P/Qb8npy4h4QURcGxGbI2LlItsdFRE3RMS6iDi1sny/iLg8Im6MiPMiYvtx4lE3WSmTJNWtjUNiXAP8DvDFYRtExLbAu4DnAgcBJ0bEQeXqtwKnZ+YBwB3Ay8aMRx0011NmViZJqklMYULyZeM8OTOvhy1+GR4KrMvMm8ptzwWOiYjrgcOBF5fbnQ28AXj3lvb77dt+wnH/8OXRA9dM2TzJT4wkqRN6qc3bL7qB9/7bTRPZ51hJ2VZaDtxcebweeArwMODOzNxUWb582ItExGpgNcBOe+3PTjtMInS1xX89cA+e+Zg9ph2GJGlGrNjtwTz/iY/kznvum9g+t5jZRMRngUcMWPW6zPzkVuxjUBlt2Kw4Q2semXkGcAbAypUr80Mve8pW7FqSJGnpHrTdtrzzxENqea0Pn7x1220xKcvMI8aMZT2wT+Xx3sAG4IfALhGxrKyW9ZZLkiR1ziSGxLgCOKC80nJ74ARgTRbjGHweOL7cbhWwNZU3SZKkmTPukBjHRcR64GnApyPionL5IyPiAoCyCnYKcBFwPfDRzLy2fInXAK+MiHUUPWZnjhOPJElSW8Uk53Sqy8qVK3Pt2rXTDkOSJGmLIuLrmTl0PNceR/SXJElqAJMySZKkBjApkyRJagCTMkmSpAYwKZMkSWoAkzJJkqQGMCmTJElqAJMySZKkBjApkyRJaoBWjugfET8Gbph2HKrF7hST06v9PJazw2M5OzyWzfCozNxjSxstm0QkD4Abtma6AjVfRKz1WM4Gj+Xs8FjODo9lu3j6UpIkqQFMyiRJkhqgrUnZGdMOQLXxWM4Oj+Xs8FjODo9li7Sy0V+SJGnWtLVSJkmSNFNqScoiYp+I+HxEXB8R10bEn5fLd4uIiyPixvLnruXyx0bEVyPi3oh41YLX2iUizo+Ib5av97Qh+zwqIm6IiHURcWpl+bMi4hsRcWVEfCkiHj3k+W+KiJsj4icLlp8UEbeVz78yIk4e9/1pk7qOZUQcWHkPr4yIuyPiL4bsc9ixjPI4fauM58+GPP+U8rkZEbtXlh8WEXdVYnh9Xe9TG9T8uXxF+RrXRMQ5EfGgIftcVb7ujRGxasD6NRFxzSIxnxURty7cZljMXVDzcfzz8hheO+zzWG437DM58LM24PlnRsR/RMRV5f/nO5XLd4iI88rXuDwi9h3v3WmXKR3LYZ+pF5TP3RwRQ6/OjIi3R/F9fFVEfDwidimXbxcRZ0fE1eXv89px3huVMnPsG7AX8KTy/kOAbwEHAW8DTi2Xnwq8tby/J/BfgDcBr1rwWmcDJ5f3twd2GbC/bYFvA/uX2/wHcFC57lvA48r7Lwc+MCTmp5Zx/2TB8pOA/1PH+9LGW53HcsHx+gHFOC1LOZYvBT4IbNPb15DXPwTYF/gusHtl+WHAp6b9nrb9WALLge8AO5aPPwqcNGB/uwE3lT93Le/vWln/O8A/AdcsEvMzgCct3GZYzF241Xgcfx24BngwxXBInwUOGLC/xT6TAz9rA17joZX7f1eJ8+XAP5b3TwDOm/b7O8vHstx22GfqccCBwKXAykVifjawrLz/1kpsLwbOLe8/uPw3se+03+O232qplGXmxsz8Rnn/x8D1FP+RH0ORZFH+PLbc5tbMvAL4RfV1IuKh5T+gM8vt7svMOwfs8lBgXWbelJn3AeeW+wJI4KHl/Z2BDUNiviwzN47w6860uo7lAs8Cvp2Z3xuwbrFj+SfAaZm5ubevITH/e2Z+d+t/y26o+VguA3aMiGUU/wEP+lw9B7g4M2/PzDuAi4GjAMpKySuBN24h5i8Ctw9YNTDmLqjxOD4OuCwz78nMTcAXgOMG7HLoZ3JrP2uZeTcU1W5gR4r/l1kQ8/nAs8ptOmEKx3LoZyozr8/MLQ7CnpmfKfcBcBmwd28V8Cvl/wk7AvcBd2/p9bS42nvKynL0IcDlwMN7iU/5c88tPH1/4Dbg/RHx7xHxvoj4lQHbLQdurjxeXy4DOBm4ICLWA38AvGWEX+N3K2X3fUZ4/kwY81hWnQCcM2TdYsfyV4EXRcTaiLgwIg5Ywj57nlaeRrkwIn5thOfPhHGOZWb+J/C3wPeBjcBdmfmZAZsudiz/GvjfwD0j/grj/PubGWN+Jq8BnhERD4uIBwPPAwb9/7bYcVxKrO+nqJA/Fnjnwtcuv+jvAh621NeeBRM6lnX7Q+DC8v75wE8p/k/4PvC3mTnoDyotQa1JWfnX8D8Df9H7S2mJllGUWd+dmYdQHPBTB2w36C+r3l9irwCel5l7A++nKJ0vxb9QlGCfQFESPnsL28+kGo5l73W2B44GPjZskwHLesdyB+DnWYxG/V7grCXu/hsUp0yfSPGl8IklPn8mjHssy/6WY4D9gEdS/HX8+4M2HbAsI+Jg4NGZ+fGl7lt94x7HzLye4vTTxcC/UpyW3DRg08U+k0vZ30sp/r1cD7yoztduuwkey9pExOvKfXykXHQocD/FMd4P+B8Rsf8DGUMX1JaURcR2FP/IPpKZ/7dcfEtE7FWu3wsYePqpYj2wPjMvLx+fDzypbI7sNWv/cbld9a+CvYENEbEH8MTK888DfiMitq08/7TFAsjMH2XmveXD9wJP3uIvP2NqOpY9zwW+kZm3lM/dqmNZ3l9fxgHwceAJ5WtcVD7/fYvtODPvzsyflPcvALZbrDl5FtV0LI8AvpOZt2XmL4D/S/G5ekrlWB7N8GP5NODJEfFd4EvAYyLi0gH/FhYz6r+/mVDXZzIzz8zMJ2XmMyhOad24xM/ksPgGfiYz836K/4d/t1w099rlaa+dGXy6emZN+FiOEt/7y+dfUFm2Cvht4Pcys5dEvxj418z8Rdla8mXA6ZzGVMvcl2VPwJnA9ZlZrUytAVZRnEJcBXxysdfJzB9EcUXkgeW57mcB12XmzcDBlf0tAw6IiP2A/6Q4PfZi4A5g54h4TGZ+CziyjOn+6vO38LvsVek1O5rir7zOqOtYVpxI5dTlEo4lFJWtwykqZM+kaIolM5+zlb/LI4BbMjMj4lCKP0J+tJVxt16Nx/L7wFPL0yQ/o/hcri3/+Kkey92Av4n+lZHPBl5bntJ4d7nNvhQXXxxWbrNVn8sRYp4ZdX4mI2LPzLw1IlZQXHjxtLL/b2s/kwNVP5NlvL+amevK+88Hvrkg5q8CxwOfq3zJz7xJH8tRlBXO6n6OAl4DPDMzq+0H3wcOj4gPU/SZPhV4xzj7FrVdffmbFCXoq4Ary9vzKHoFLgFuLH/uVm7/CIq/mO4G7izvP7RcdzCwtnytT1C5emvBPp9H8SX9beB1leXHAVdTlHMvBfYf8vy3lfvdXP58Q7n8zcC15fM/Dzy2jveoLbeaj+WDKZKgnbewz2HHchfg0+Xx/CpFFXTQ8/+s3O8mir/o31cuP6VyLC8DfmPa72+Lj+VfUXyxXgN8CNhhyD7/EFhX3l46YP2+LH715TkUPSq/KPf/snL5wJi7cKv5OP4bcF35mXjWIvsc9pkc+Flb8NxtKKomV5f/Xj5S2f+DKFoZ1gFfY8j/z7N6m9KxHPaZOq58fC9wC3DRkOevo+gD7MXbu3p2p/JYXlvG8eppv7+zcHNEf0mSpAZwRH9JkqQGMCmTJElqAJMySZKkBjApkyRJagCTMkmSpAYwKZPUKRHxhoh41SLrj42IgyYZkySBSZkkLXQsYFImaeIcp0zSzCvn7XsJxSCYtwFfp5gMezWwPcUAmX9AMXj1p8p1d9GfHuhdwB4UE6r/t8z8JpJUM5MySTMtIp4MfAB4CsXUct8A/hF4f2b+qNzmjRRTcr0zIj5AMRXU+eW6S4A/zswbI+IpwJsz8/DJ/yaSZl0tc19KUoP9FvDxLOfti4g15fJfL5OxXSimjLlo4RMjYifgN4CPFdMWArDDAx6xpE4yKZPUBYNOCXwAODYz/yMiTgIOG7DNNsCdmTnWJM+StDVs9Jc0674IHBcRO0bEQ4Dnl8sfAmyMiO2A36ts/+NyHZl5N/CdiHgBQBSeOLnQJXWJPWWSZl6l0f97wHrgOuCnwP8sl10NPCQzT4qIpwPvBe4Fjgc2A+8G9gK2A87NzNMm/ktImnkmZZIkSQ3g6UtJkqQGMCmTJElqAJMySZKkBjApkyRJagCTMkmSpAYwKZMkSWoAkzJJkqQGMCmTJElqgP8f/vOsg6wj+nIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "stock_pair['position_2'].plot(ylim=[-1.1, 1.1], figsize=(10, 6),title = 'Trading Signal_Downtrade')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4. 计算策略年化收益并可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock_pair['returns_1'] = np.log(stock_pair[stocks[0]] / stock_pair[stocks[0]].shift(1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock_pair['returns_2'] = np.log(stock_pair[stocks[1]] / stock_pair[stocks[1]].shift(1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock_pair['strategy'] = 0.5*(stock_pair['position_1'].shift(1) * stock_pair['returns_1'])+0.5*(stock_pair['position_2'].shift(1) * stock_pair['returns_2'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x20398b6c780>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "stock_pair[['returns_1','returns_2','strategy']].dropna().cumsum().apply(np.exp).plot(figsize=(10, 8),title = 'Strategy_Backtesting')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
